A note on non-univalent harmonic maps between surfaces

Wan, Tom

doi:10.1090/S0002-9939-00-06048-2

A note on non-univalent harmonic maps between surfaces
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by Tom Y. H. Wan PDF

Proc. Amer. Math. Soc. 129 (2001), 567-572 Request permission

Abstract:

We show that a decomposition theorem of Duren-Hengartner about planar harmonic maps can be generalized to give a necessary and sufficient condition for a harmonic map between smooth surfaces to be decomposable as a holomorphic map followed by a univalent harmonic embedding.

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